Linear Regression with TI84

This video tutorial demonstrates how to perform linear regression using a TI84 graphing calculator. It covers creating a scatter plot, determining the line of best fit, and making predictions based on the regression equation. The tutorial uses data on the percentage of births outside of marriage in the U.S. from 1970 onwards. It explains how to set up the calculator, perform linear regression, and interpret the results, including the slope and y-intercept. The video also discusses the correlation coefficient and the coefficient of determination to assess model fit.

What is the primary goal of using the TI84 calculator in this video?

• To learn basic arithmetic operations

• To perform linear regression and make predictions

• To solve quadratic equations

• To explore geometric shapes

What is the base year set for the X values in the scatter plot?

• 1980

• 2000

• 1970

• 1990

What feature must be turned on in the TI84 to ensure the scatter plot is visible?

• Graphing mode

• Scatter plot feature

• Equation solver

• Matrix editor

What does the R value indicate in linear regression analysis?

• The strength and direction of a linear relationship

• The y-intercept of the line

• The slope of the line

• The number of data points

What is the significance of the slope in the regression equation?

• It shows the maximum value of Y

• It determines the midpoint of the data

• It indicates the rate of change in Y for a unit change in X

• It represents the starting point of the data

How is the X value for the year 2015 calculated in the regression model?

• By adding 45 to the base year

• By multiplying 2015 by 2

• By dividing 2015 by 45

• By subtracting 1970 from 2015

What does a high R squared value indicate about the model?

• The model is irrelevant

• The model is not a good fit

• The model explains a large portion of the variance

• The model is overly complex

What is the predicted percentage of births outside marriage in 2015 according to the model?

• 50.2%

• 45.7%

• 30.5%

• 60.1%

In what year does the model predict that 50% of births will be outside of marriage?

• 2040

• 2021

• 2015

• 2030

What does the y-intercept represent in the context of this model?

• The minimum percentage of births outside marriage

• The percentage of births outside marriage in 1970

• The maximum percentage of births outside marriage

• The average percentage of births outside marriage